WCSE 2016
ISBN: 978-981-11-0008-6 DOI: 10.18178/wcse.2016.06.081

Probability Conditions for Convergence of the Warning Propagation Algorithm

Wang Xiao-feng, Ding Hong-sheng, Yu Qian-cheng, Tian Jin-qin

Abstract— Message propagation algorithms are very effective in finding satisfying assignments for random SAT instances, and hard region become narrower. However, message propagation algorithms do not always converge for graphs with cycles. Unfortunately, rigorous theory proof of this phenomenon is still lacking. Warning Propagation algorithm is the most basic message propagation algorithm, we analyses convergence of the warning propagation algorithm, and gives the conditions for convergence.

Index Terms— warning propagation algorithm, convergence, satisfiability problems

Wang Xiao-feng, Ding Hong-sheng, Yu Qian-cheng, Tian Jin-qin
Department of Computer Science, Beifang Minzu University, CHINA

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Cite: Wang Xiao-feng, Ding Hong-sheng, Yu Qian-cheng, Tian Jin-qin, "Probability Conditions for Convergence of the Warning Propagation Algorithm," Proceedings of 2016 6th International Workshop on Computer Science and Engineering, pp. 481-488, Tokyo, 17-19 June, 2016.